42800 has 30 divisors (see below), whose sum is σ = 103788. Its totient is φ = 16960.

The previous prime is 42797. The next prime is 42821. The reversal of 42800 is 824.

42800 = T₆₅ + T₆₆ + ... + T₈₀.

42800 is nontrivially palindromic in base 7.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347 + ... + 453.

2⁴²⁸⁰⁰ is an apocalyptic number.

42800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51894).

42800 is an abundant number, since it is smaller than the sum of its proper divisors (60988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42800 is a wasteful number, since it uses less digits than its factorization.

42800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42800 is about 206.8816086558. The cubic root of 42800 is about 34.9795799254.

The spelling of 42800 in words is "forty-two thousand, eight hundred".